@Article{EAJAM-10-455,
author = {Pi , WeiHan , Yihui and Zhang , Shiquan},
title = {A Hybridisable Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion-Reaction Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2020},
volume = {10},
number = {3},
pages = {455--484},
abstract = {<p style="text-align: justify;">A hybridisable discontinuous Galerkin (HDG) discretisation of time-dependent linear convection-diffusion-reaction equations is considered. For the space discretisation, the HDG method uses piecewise polynomials of degrees $k$ ≥ 0 to approximate
potential $u$ and its trace on the inter-element boundaries, and the flux is approximated
by piecewise polynomials of degree max{$k$ − 1, 0}, $k$ ≥ 0. In the fully discrete scheme,
the time derivative is approximated by the backward Euler difference. Error estimates
obtained for semi-discrete and fully discrete schemes show that the HDG method converges uniformly with respect to the equation coefficients. Numerical examples confirm
the theoretical results.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.090419.041219},
url = {http://global-sci.org/intro/article_detail/eajam/16977.html}
}